/usr/lib/python2.7/dist-packages/swap/pretty.py is in python-swap 1.2.1-7.
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$Id: pretty.py,v 1.41 2007/09/09 22:51:42 timbl Exp $
Printing of N3 and RDF formulae
20003-8-20 split offf from llyn.py
This is or was http://www.w3.org/2000/10/swap/pretty.py
"""
import types
import string
import diag
from diag import progress, verbosity, tracking
from term import Literal, XMLLiteral, Symbol, Fragment, AnonymousNode, \
AnonymousVariable, FragmentNil, AnonymousUniversal, \
Term, CompoundTerm, List, EmptyList, NonEmptyList, N3Set
from formula import Formula, StoredStatement
from RDFSink import Logic_NS, RDFSink, forSomeSym, forAllSym
from RDFSink import CONTEXT, PRED, SUBJ, OBJ, PARTS, ALL4, \
ANONYMOUS, SYMBOL, LITERAL, LITERAL_DT, LITERAL_LANG, XMLLITERAL
from RDFSink import N3_nil, N3_first, N3_rest, OWL_NS, N3_Empty, N3_List, \
List_NS
from RDFSink import RDF_NS_URI
from RDFSink import RDF_type_URI
cvsRevision = "$Revision: 1.41 $"
# Magic resources we know about
from RDFSink import RDF_type_URI, DAML_sameAs_URI
STRING_NS_URI = "http://www.w3.org/2000/10/swap/string#"
META_NS_URI = "http://www.w3.org/2000/10/swap/meta#"
INTEGER_DATATYPE = "http://www.w3.org/2001/XMLSchema#integer"
FLOAT_DATATYPE = "http://www.w3.org/2001/XMLSchema#double"
prefixchars = "abcdefghijklmnopqustuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ"
# Utility functions for the object-free abstract notation interface
def auPair(x):
"""Encode as object-free form for unparser interface"""
if isinstance(x, XMLLiteral):
return (XMLLITERAL, x.dom)
if isinstance(x, Literal):
if x.datatype:
return LITERAL_DT, (str(x), x.datatype.uriref()) # could be XMLLit
if x.lang:
return LITERAL_LANG, (x.string, x.lang)
return (LITERAL, x.string)
if isinstance(x, AnonymousUniversal):
if x.uri:
return (SYMBOL, x.uriref())
if isinstance(x, AnonymousNode):
return (ANONYMOUS, x.uriref())
else:
return (SYMBOL, x.uriref())
def auxPairs(t):
return(auPair(t[CONTEXT]),
auPair(t[PRED]),
auPair(t[SUBJ]),
auPair(t[OBJ]),
)
class TooMuchRecursion(Exception): pass
class Serializer:
"""A serializer to serialize the formula F into the given
abstract syntax sink
"""
def __init__(self, F, sink, flags="", sorting=0):
self.context = F
# assert F.canonical is not None, "Formula printed must be canonical"
self.store = F.store
self.sink = sink
self.defaultNamespace = None
self.flags = flags
self.sorting = sorting
self._inContext ={}
self._loopCheck = {}
self._inLoop = {}
self._tooDeep = {}
self._occurringAs = [{}, {}, {}, {}]
self._topology_returns = {}
def selectDefaultPrefix(self, printFunction):
""" Symbol whose fragments have the most occurrences.
we suppress the RDF namespace itself because the XML syntax
has problems with it being default as it is used for attributes.
This also outputs the prefixes."""
if "d" in self.flags:
self.defaultNamespace = None
self.dumpPrefixes()
return
dummySink = self.sink.dummyClone()
dummySerializer = Serializer(self.context,
sink=dummySink, flags=self.flags+"d", sorting=self.sorting)
printFunction(dummySerializer)
best = 0
mp = None
counts = dummySink.namespaceCounts()
for r, count in counts.items():
if verbosity() > 25: progress(" Count is %3i for %s" %(count, r))
if (r != RDF_NS_URI
and count > 0
and (count > best or
(count == best and mp > r))) : # Must be repeatable for retests
best = count
mp = r
if verbosity() > 20:
progress("# Most popular Namespace is %s with %i" % ( mp, best))
self.defaultNamespace = mp
# Make up prefixes for things which don't have them:
for r, count in counts.items():
if count > 1 and r != mp:
if self.store.prefixes.get(r, None) is None:
p = r
if p[-1] in "/#": p = p[:-1]
slash = p.rfind("/")
if slash >= 0: p = p[slash+1:]
i = 0
while i < len(p):
if p[i] in prefixchars:
i = i + 1
else:
break
p = p[:i]
if len(p) <6 and self.store.namespaces.get(p, None)is None: # and p[:3]!='xml':
pref = p
else:
p = p[:5]
for l in (3, 2, 4, 1, 5):
if self.store.namespaces.get(p[:l], None) is None: # and p[:l][:3]!='xml':
pref = p[:l]
break
else:
n = 2
while 1:
pref = p[:3]+`n`
if self.store.namespaces.get(pref, None) is None:
break
n = n + 1
self.store.bind(pref, r)
if verbosity() > 50: progress("Generated @prefix %s: <%s>." % (pref, r))
if self.defaultNamespace is not None:
self.sink.setDefaultNamespace(self.defaultNamespace)
# progress("&&&& Counts: ", counts)
prefixes = self.store.namespaces.keys() # bind in same way as input did FYI
prefixes.sort() # For repeatability of test results
for pfx in prefixes:
r = self.store.namespaces[pfx]
try:
count = counts[r]
if count > 0:
self.sink.bind(pfx, r)
except KeyError:
pass
return
def dumpPrefixes(self):
if self.defaultNamespace is not None:
sink.setDefaultNamespace(self.defaultNamespace)
prefixes = self.store.namespaces.keys() # bind in same way as input did FYI
prefixes.sort()
for pfx in prefixes:
uri = self.store.namespaces[pfx]
self.sink.bind(pfx, uri)
def _listsWithinLists(self, L, lists):
if L not in lists:
lists.append(L)
for i in L:
if isinstance(i, NonEmptyList) or isinstance(i, N3Set):
self._listsWithinLists(i, lists)
def dumpLists(self):
"Dump lists out as first and rest. Not used in pretty."
listList = {}
context = self.context
sink = self.sink
lists = []
for s in context.statements:
for x in s.predicate(), s.subject(), s.object():
if isinstance(x, NonEmptyList) or isinstance(x, N3Set):
self._listsWithinLists(x, lists)
for l in lists:
if isinstance(l, N3Set):
a = context.newBlankNode()
ll = [mm for mm in l] #I hate sorting things
ll.sort(Term.compareAnyTerm)
list = self.store.newList(ll)
self._outputStatement(sink, (context, self.store.forSome, context, a))
l._list = list
l._node = a
else:
list = l
while not isinstance(list, EmptyList):
if list not in listList:
self._outputStatement(sink, (context, self.store.forSome, context, list))
listList[list] = 1
list = list.rest
listList = {}
for l in lists:
list = l
if isinstance(l, N3Set):
list = l._list
self._outputStatement(sink, (context, self.store.owlOneOf, l._node, list))
while (not isinstance(list, EmptyList)) and list not in listList:
if isinstance(list.first, N3Set):
self._outputStatement(sink, (context, self.store.first, list, list.first._node))
else:
self._outputStatement(sink, (context, self.store.first, list, list.first))
self._outputStatement(sink, (context, self.store.rest, list, list.rest))
listList[list] = 1
list = list.rest
def dumpChronological(self):
"Fast as possible. Only dumps data. No formulae or universals."
context = self.context
sink = self.sink
sink.startDoc()
self.dumpPrefixes()
self.dumpVariables(context, sink, sorting=0, dataOnly=1)
uu = context.universals()
self.dumpLists()
def fixSet(x):
try:
return x._node
except AttributeError:
return x
for s in context.statements:
for p in SUBJ, PRED, OBJ:
x = s[p]
if isinstance(x, Formula) or x in uu:
break
else:
self._outputStatement(sink, [fixSet(x) for x in s.quad])
sink.endDoc()
def _outputStatement(self, sink, quad, aWorks = 1):
if isinstance(quad[1], Literal):
raise ValueError("Cannot have a literal as a predicate. This makes no sense, %s" % `quad[1]`)
if isinstance(quad[1], Formula):
raise ValueError("Cannot have a formula as a predicate. This makes no sense")
sink.makeStatement(auxPairs(quad), aIsPossible=aWorks)
def dumpVariables(self, context, sink, sorting=1, pretty=0, dataOnly=0):
"""Dump the forAlls and the forSomes at the top of a formula"""
uv = list(context.universals())
ev = list(context.existentials())
if sorting:
uv.sort(Term.compareAnyTerm)
ev.sort(Term.compareAnyTerm)
if not dataOnly:
for v in uv:
self._outputStatement(sink, (context, self.store.forAll, context, v))
for v in ev:
aWorks = 0
if pretty:
_anon, _incoming = self._topology(v, context)
if not _anon:
self._outputStatement(sink, (context, self.store.forSome, context, v), \
canItbeABNode(context, v))
else: # not pretty, no formulae, can always use _:a form
self._outputStatement(sink, (context, self.store.forSome, context, v), 1)
def dumpBySubject(self, sorting=1):
""" Dump one formula only by order of subject except
forSome's first for n3=a mode"""
context = self.context
uu = context.universals().copy()
sink = self.sink
self._scan(context)
sink.startDoc()
self.selectDefaultPrefix(Serializer.dumpBySubject)
self.dumpVariables(context, sink, sorting)
self.dumpLists()
ss = context.statements[:]
ss.sort()
def fixSet(x):
try:
return x._node
except AttributeError:
return x
for s in ss:
for p in SUBJ, PRED, OBJ:
x = s[p]
if isinstance(x, Formula) or x in uu:
break
else:
self._outputStatement(sink, [fixSet(x) for x in s.quad])
if 0: # Doesn't work as ther ei snow no list of bnodes
rs = self.store.resources.values()
if sorting: rs.sort(Term.compareAnyTerm)
for r in rs : # First the bare resource
statements = context.statementsMatching(subj=r)
if sorting: statements.sort(StoredStatement.comparePredObj)
for s in statements :
self._outputStatement(sink, s.quad)
if not isinstance(r, Literal):
fs = r.fragments.values()
if sorting: fs.sort
for f in fs : # then anything in its namespace
statements = context.statementsMatching(subj=f)
if sorting: statements.sort(StoredStatement.comparePredObj)
for s in statements:
self._outputStatement(sink, s.quad)
sink.endDoc()
#
# Pretty printing
#
# An intersting alternative is to use the reverse syntax to the max, which
# makes the DLG an undirected labelled graph. s and o above merge. The only think which
# then prevents us from dumping the graph without new bnode ids is the presence of cycles.
#
# Blank nodes can be represented using the implicit syntax [] or rdf/xml equivalent
# instead of a dummy identifier iff
# - they are blank nodes, ie are existentials whose id has been generated, and
# - the node only occurs directly in one formula in the whole thing to be printed, and
# - the node occurs at most once as a object or list element within that formula
# We used to work this out on the fly, but it is faster to build an index of the
# whole formula to be printed first.
#
# Note when we scan a list we do it in the context of the formula in which we found
# it. It may occcur in many formulae.
def _scanObj(self, context, x):
"Does this appear in just one context, and if so counts how many times as object"
z = self._inContext.get(x, None)
if z == "many": return # forget it
if z is None:
self._inContext[x] = context
elif z is not context:
self._inContext[x] = "many"
return
if isinstance(x, NonEmptyList) or isinstance(x, N3Set):
for y in x:
self._scanObj(context, y)
if isinstance(x, AnonymousVariable) or (isinstance(x, Fragment) and x.generated()):
y = self._occurringAs[OBJ].get(x, 0) + 1
self._occurringAs[OBJ][x] = y
if verbosity() > 98:
progress(
"scan: %s, a %s, now has %i occurrences as %s"
%(x, x.__class__,y,"CPSOqqqqq"[y]))
# else:
# if x is None: raise RuntimeError("Weird - None in a statement?")
# progress("&&&&&&&&& %s has class %s " %(`z`, `z.__class__`))
def _scan(self, x, context=None):
# progress("Scanning ", x, " &&&&&&&&")
# assert self.context._redirections.get(x, None) is None, "Should not be redirected: "+`x`
if verbosity() > 98: progress("scanning %s a %s in context %s" %(`x`, `x.__class__`,`context`),
x.generated(), self._inContext.get(x, "--"))
if isinstance(x, NonEmptyList) or isinstance(x, N3Set):
for y in x:
self._scanObj(context, y)
if isinstance(x, Formula):
for s in x.statements:
for p in PRED, SUBJ, OBJ:
y = s[p]
if (isinstance(y, AnonymousVariable)
or (isinstance(y, Fragment) and y.generated())):
z = self._inContext.get(y, None)
if z == "many": continue # forget it
if z is None:
self._inContext[y] = x
elif z is not x:
self._inContext[y] = "many"
continue
z = self._occurringAs[p].get(y, 0)
self._occurringAs[p][y] = z + 1
# progress("&&&&&&&&& %s now occurs %i times as %s" %(`y`, z+1, "CPSO"[p]))
# else:
# progress("&&&&&&&&& yyyy %s has class %s " %(`y`, `y.__class__`))
if x is not y: self._scan(y, x)
self._breakloops(x)
def _breakloops(self, context):
_done = {}
_todo = list(self._occurringAs[SUBJ])
_todo.sort(Term.compareAnyTerm)
for x in _todo:
if x in _done:
continue
if not (isinstance(x, AnonymousVariable) and not ((isinstance(x, Fragment) and x.generated()))):
_done[x] = True
continue
_done[x] = x
a = True
y = x
while a is not None:
a = context._index.get((None, None, y), None)
if a is None or len(a) == 0:
a = None
if a is not None:
#print a
y = a[0][SUBJ]
beenHere = _done.get(y, None)
if beenHere is x:
self._inLoop[y] = 1
a = None
elif beenHere is not None:
a = None
elif not (isinstance(y, AnonymousVariable) and not ((isinstance(y, Fragment) and y.generated()))):
_done[y] = True
a = None
else:
_done[y] = x
def _topology(self, x, context):
""" Can be output as an anonymous node in N3. Also counts incoming links.
Output tuple parts:
1. True iff can be represented as anonymous node in N3, [] or {}
2. Number of incoming links: >0 means occurs as object or pred, 0 means as only as subject.
1 means just occurs once
>1 means occurs too many times to be anon
Returns number of incoming links (1 or 2) including forSome link
or zero if self can NOT be represented as an anonymous node.
Paired with this is whether this is a subexpression.
"""
# This function takes way too long. My attempts to speed it up using a try / except
# loop were clearly misguided, because this function does very little as is.
# why does this take .08 seconds per function call to do next to nothing?
## try:
## return self._topology_returns[x]
## except KeyError:
## pass
# progress("&&&&&&&&& ", `self`, self._occurringAs)
_isExistential = x in context.existentials()
# _isExistential = context.existentialDict.get(x,0)
# return (0, 2)
_loop = context.any(subj=x, obj=x) # does'nt count as incomming
_asPred = self._occurringAs[PRED].get(x, 0)
_asObj = self._occurringAs[OBJ].get(x, 0)
_inLoop = self._inLoop.get(x, 0)
_tooDeep = self._tooDeep.get(x, 0)
if isinstance(x, Literal):
_anon = 0 # Never anonymous, always just use the string
elif isinstance(x, Formula):
_anon = 2 # always anonymous, represented as itself
elif isinstance(x, List):
if isinstance(x, EmptyList):
_anon = 0 # Never anonymous, always just use the string
else:
_anon = 2 # always anonymous, represented as itself
_isExistential = 1
elif isinstance(x, N3Set):
_anon = 2
_isExistential = 1
elif not x.generated():
_anon = 0 # Got a name, not anonymous
else: # bnode
ctx = self._inContext.get(x, "weird")
_anon = ctx == "weird" or (ctx is context and
_asObj < 2 and _asPred == 0 and _inLoop == 0 and
_tooDeep == 0 and (not _loop) and
_isExistential)
if verbosity() > 97:
progress( "Topology %s in %s is: ctx=%s,anon=%i obj=%i, pred=%i loop=%s ex=%i "%(
`x`, `context`, `ctx`, _anon, _asObj, _asPred, _loop, _isExistential))
return ( _anon, _asObj+_asPred )
if verbosity() > 98:
progress( "Topology %s in %s is: anon=%i obj=%i, pred=%i loop=%s ex=%i "%(
`x`, `context`, _anon, _asObj, _asPred, _loop, _isExistential))
## self._topology_returns[x] = ( _anon, _asObj+_asPred )
return ( _anon, _asObj+_asPred )
def dumpNested(self):
""" Iterates over all URIs ever seen looking for statements
"""
context = self.context
# assert context.canonical is not None
self._scan(context)
self.sink.startDoc()
self.selectDefaultPrefix(Serializer.dumpNested)
self.dumpFormulaContents(context, self.sink, sorting=1, equals=1)
self.sink.endDoc()
def tmDumpNested(self):
"""
"""
context = self.context
assert context.canonical is not None
self._scan(context)
self.tm.start()
self._dumpFormula(context)
self.tm.end()
def _dumpNode(self, node):
tm = self.tm
_anon, _incoming = self._topology(node, context)
if isinstance(node, List):
tm.startList()
[self._dumpNode(x) for x in node]
tm.endList()
elif isinstance(node, N3Set):
pass
elif isinstance(node, formula):
tm.startFormula()
self._dumpFormula(node)
tm.endFormula()
elif _anon:
tm.startAnonymous()
self._dumpSubject(context, node)
tm.endAnonymous()
elif isinstance(node, Literal):
tm.addLiteral(node)
elif isinstance(node, Symbol):
tm.addSymbol(node)
else:
pass
def _dumpFormula(self, node):
pass
def _dumpSubject(self, formula, node):
pass
def _dumpPredicate(self, formula, subject, node):
pass
def dumpFormulaContents(self, context, sink, sorting, equals=0):
""" Iterates over statements in formula, bunching them up into a set
for each subject.
"""
allStatements = context.statements[:]
if equals:
for x, y in context._redirections.items():
if not x.generated() and x not in context.variables():
allStatements.append(StoredStatement(
(context, context.store.sameAs, x, y)))
allStatements.sort()
# context.statements.sort()
# @@ necessary?
self.dumpVariables(context, sink, sorting, pretty=1)
# statements = context.statementsMatching(subj=context) # context is subject
# if statements:
# progress("@@ Statement with context as subj?!", statements,)
# self._dumpSubject(context, context, sink, sorting, statements)
currentSubject = None
statements = []
for s in allStatements:
con, pred, subj, obj = s.quad
if subj is con: continue # Done them above
if currentSubject is None: currentSubject = subj
if subj != currentSubject:
self._dumpSubject(currentSubject, context, sink, sorting, statements)
statements = []
currentSubject = subj
statements.append(s)
if currentSubject is not None:
self._dumpSubject(currentSubject, context, sink, sorting, statements)
def _dumpSubject(self, subj, context, sink, sorting, statements=[]):
""" Dump the infomation about one top level subject
This outputs arcs leading away from a node, and where appropriate
recursively descends the tree, by dumping the object nodes
(and in the case of a compact list, the predicate (rest) node).
It does NOTHING for anonymous nodes which don't occur explicitly as subjects.
The list of statements must be sorted if sorting is true.
"""
_anon, _incoming = self._topology(subj, context) # Is anonymous?
if _anon and _incoming == 1 and not isinstance(subj, Formula): return # Forget it - will be dealt with in recursion
if isinstance(subj, List): li = subj
else: li = None
if isinstance(subj, N3Set):
#I hate having to sort things
se = [mm for mm in subj]
se.sort(Term.compareAnyTerm)
li = self.store.newList(se)
else: se = None
if isinstance(subj, Formula) and subj is not context:
sink.startFormulaSubject(auPair(subj))
self.dumpFormulaContents(subj, sink, sorting)
sink.endFormulaSubject(auPair(subj)) # Subject is now set up
# continue to do arcs
elif _anon and (_incoming == 0 or
(li is not None and not isinstance(li, EmptyList))): # Will be root anonymous node - {} or [] or ()
if subj is context:
pass
else: # Could have alternative syntax here
if sorting: statements.sort(StoredStatement.comparePredObj) # @@ Needed now Fs are canonical?
if se is not None:
a = self.context.newBlankNode()
sink.startAnonymousNode(auPair(a))
self.dumpStatement(sink, (context, self.store.owlOneOf, a, li), sorting)
for s in statements: # "[] color blue." might be nicer. @@@ Try it?
m = s.quad[0:2] + (a, s.quad[3])
self.dumpStatement(sink, m, sorting)
sink.endAnonymousNode()
return
elif li is not None and not isinstance(li, EmptyList):
for s in statements:
p = s.quad[PRED]
if p is not self.store.first and p is not self.store.rest:
if verbosity() > 90: progress("Is list, has values for", `p`)
break # Something to print (later)
else:
if subj.generated(): return # Nothing.
if "l" not in self.flags:
sink.startListSubject(auPair(subj))
for ele in subj:
self.dumpStatement(sink, (context, self.store.li, subj,
ele), sorting)
sink.endListSubject(auPair(subj))
for s in statements:
p = s.quad[PRED]
if p is not self.store.first and p is not self.store.rest:
self.dumpStatement(sink, s.quad, sorting) # Dump the rest outside the ()
else: # List but explicitly using first and rest
sink.startAnonymousNode(auPair(subj))
self.dumpStatement(sink, (context,
self.store.first, subj, subj.first), sorting)
self.dumpStatement(sink, (context,
self.store.rest, subj, subj.rest), sorting)
for s in statements:
self.dumpStatement(sink, s.quad, sorting)
sink.endAnonymousNode()
return
else:
if verbosity() > 90: progress("%s Not list, has property values." % `subj`)
sink.startAnonymousNode(auPair(subj))
for s in statements: # "[] color blue." might be nicer. @@@ Try it?
try:
self.dumpStatement(sink, s.quad, sorting)
except TooMuchRecursion:
pass
sink.endAnonymousNode()
return # arcs as subject done
if sorting: statements.sort(StoredStatement.comparePredObj)
for s in statements:
self.dumpStatement(sink, s.quad, sorting)
def dumpStatement(self, sink, triple, sorting):
"Dump one statement, including structure within object"
context, pre, sub, obj = triple
if (sub is obj and not isinstance(sub, CompoundTerm)) \
or (isinstance(obj, EmptyList)) \
or isinstance(obj, Literal):
self._outputStatement(sink, triple) # Do 1-loops simply
return
if isinstance(obj, Formula):
sink.startFormulaObject(auxPairs(triple))
self.dumpFormulaContents(obj, sink, sorting)
sink.endFormulaObject(auPair(pre), auPair(sub))
return
if isinstance(obj, NonEmptyList):
if verbosity()>99:
progress("List found as object of dumpStatement " + `obj`
+ context.debugString())
collectionSyntaxOK = ("l" not in self.flags)
# if "x" in self.flags: # Xml can't serialize literal in collection
# for ele in obj:
# if isinstance(ele, Literal):
# collectionSyntaxOK = 0
# break
if collectionSyntaxOK:
sink.startListObject(auxPairs(triple))
for ele in obj:
self.dumpStatement(sink, (context, self.store.li, obj, ele),
sorting)
sink.endListObject(auPair(sub), auPair(pre))
else:
sink.startAnonymous(auxPairs(triple))
self.dumpStatement(sink,
(context, self.store.first, obj, obj.first), sorting)
self.dumpStatement(sink,
(context, self.store.rest, obj, obj.rest), sorting)
sink.endAnonymous(auPair(sub), auPair(pre))
return
if isinstance(obj, N3Set):
a = self.context.newBlankNode()
tempobj = [mm for mm in obj] #I hate sorting things - yosi
tempobj.sort(Term.compareAnyTerm)
tempList = self.store.newList(tempobj)
sink.startAnonymous(auxPairs((triple[CONTEXT],
triple[PRED], triple[SUBJ], a)))
self.dumpStatement(sink, (context, self.store.owlOneOf,
a, tempList), sorting)
sink.endAnonymous(auPair(sub), auPair(pre))
return
_anon, _incoming = self._topology(obj, context)
if _anon and _incoming == 1: # Embedded anonymous node in N3
sink.startAnonymous(auxPairs(triple))
ss = context.statementsMatching(subj=obj)
if sorting: ss.sort(StoredStatement.comparePredObj)
for t in ss:
self.dumpStatement(sink, t.quad, sorting)
sink.endAnonymous(sub.asPair(), pre.asPair())
return
self._outputStatement(sink, triple)
BNodePossibles = None
def canItbeABNode(formula, symbol):
def returnFunc():
if BNodePossibles is not None:
return symbol in BNodePossibles
for quad in formula.statements:
for s in PRED, SUBJ, OBJ:
if isinstance(quad[s], Formula):
if BNodePossibles is None:
BNodePossible = quad[s].occurringIn(
formula.existentials())
else:
BNodePossible.update(quad[s].occurringIn(
formula.existentials()))
return symbol in BNodePossibles
return returnFunc
#ends
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